Finding the Third Proportional to 454 and 797
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Solution
The third proportional to 454 and 797 is: 1,399.14
Step by Step Solution
- Step 1: Write the proportion equation
454 : 797 = 797 : x - Step 2: Convert to fraction form
454/797 = 797/x - Step 3: Cross multiply
454x = 797 × 797 - Step 4: Simplify right side
454x = 635,209 - Step 5: Solve for x
x = 635,209/454 - Step 6: Final answer
x = 1,399.14
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.